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-3x-7=-\left(4x-2\right)-9
Combine -8x and 5x to get -3x.
-3x-7=-4x-\left(-2\right)-9
To find the opposite of 4x-2, find the opposite of each term.
-3x-7=-4x+2-9
The opposite of -2 is 2.
-3x-7=-4x-7
Subtract 9 from 2 to get -7.
-3x-7+4x=-7
Add 4x to both sides.
x-7=-7
Combine -3x and 4x to get x.
x=-7+7
Add 7 to both sides.
x=0
Add -7 and 7 to get 0.